Finding the Third Proportional to 154,584 and 245,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   154,584 : 245,902.50 = 245,902.50 : x
2. Step 2: Convert to fraction form
   154,584/245,902.50 = 245,902.50/x
3. Step 3: Cross multiply
   154,584x = 245,902.50 × 245,902.50
4. Step 4: Simplify right side
   154,584x = 60,468,039,506.25
5. Step 5: Solve for x
   x = 60,468,039,506.25/154,584
6. Step 6: Final answer
   x = 391,166.22